It is interesting to note that a particular scientific theory places
limitations on the amount of knowledge one can acquire. As a direct
consequence of the postulates of quantum mechanics one must conclude that
certain pairs of physical observabales may not be known exactly at the same
time. This is known as the heisenberg uncertainty principle and it is
fundemental to the existence of the world as we know it. This immediately
implies that God does not exist (at least not an omnipotent God) because
the knowledge of everything is not in his reach according the heisenberg
uncertainty principle.

This however is not a proof, it is a plausibility argument. It is as good
as quantum physics is, which in turn is only as good as observation. We
might find ourselves dismissing it a thousand years from now for another
theory that explains all observables but does not preclude the existence of
God.